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# JEE 2022 Syllabus

The official syllabus of JEE Advanced 2022 has been released. Get all the details related to the syllabus of IIT JEE advanced subjects here

The official syllabus of JEE Advanced 2022 has been released. Having access to the detailed syllabus helps students prepare a schedule and manage their time well among the three subjects to ace their exam preparation. The detailed syllabus of JEE Advanced 2022 mentioned below will give you an idea of the topics included in each subject. Read on.

## JEE Advanced 2022 Chemistry Syllabus

Also read: JEE 2022 Chemistry Study Material

## JEE Advanced 2022 Mathematics Syllabus

 Algebra Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretationsArithmetic, geometric and harmonic progressions, arithmetic, sums of finite arithmetic and geometric progressions, infinite geometric series, geometric and harmonic means, sums of squares and cubes of the first n natural numbersQuadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of rootsLogarithms and their properties. Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients Matrices Matrices as a rectangular array of real numbersAddition, multiplication by a scalar and product of matrices, equality of matrices, transpose of a matrix, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, determinant of a square matrix of order up to three, solutions of simultaneous linear equations in two or three variables Probability Addition and multiplication rules of probability, conditional probabilityBayes TheoremIndependence of eventsComputation of probability of events using permutations and combinations Trigonometry Trigonometric functions, their periodicity and graphsAddition and subtraction formulaeFormulae involving multiple and sub-multiple angleGeneral solution of trigonometric equationsRelations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only) Analytical geometry Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of originEquation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangleParametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight lineEquation of a circle in various forms, equations of tangent, normal and chordEquations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normalLocus problemsThree dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane Differential calculus Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functionsLimit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functionsEven and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functionsDerivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functionsDerivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem Integral calculus Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculusIntegration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curvesFormation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations Vectors Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations

Also see: JEE 2022 Maths Study Material

## JEE Advanced 2022 Physics Syllabus

 General Units and dimensions, dimensional analysis; least count, significant figuresMethods of measurement and error analysis for physical quantities pertaining to the following experiments: Young’s modulus by Searle’s method, Experiments based on using Vernier callipers and screw gauge (micrometre), Determination of g using simple pendulum, Speed of sound using resonance column, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using metre bridge and post office box Mechanics Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocityNewton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energySystems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisionsLaw of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocityRigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodiesLinear and angular simple harmonic motionsHooke’s law, Young’s modulusPressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applicationsWave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound) Thermal physics Thermal expansion of solids, liquids and gasesCalorimetry, latent heatHeat conduction in one dimensionElementary concepts of convection and radiationNewton’s law of cooling; Ideal gas lawsSpecific heats (Cv and Cp for monoatomic and diatomic gases)Isothermal and adiabatic processes, bulk modulus of gasesEquivalence of heat and workFirst law of thermodynamics and its applications (only for ideal gases)Blackbody radiation: absorptive and emissive powersKirchhoff’s lawWien’s displacement law, Stefan’s law Electricity and magnetism Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shellCapacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitorElectric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of currentBiot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic fieldMagnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversionsElectromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources Optics Rectilinear propagation of lightReflection and refraction at plane and spherical surfacesTotal internal reflectionDeviation and dispersion of light by a prismThin lenses; Combinations of mirrors and thin lensesMagnificationWave nature of light: Huygen’s principle, interference limited to Young’s double-slit experimentModern physics

Also check: JEE 2022 Physics Study Material

## JEE Advanced 2022 Architecture Aptitude Test Syllabus

 Freehand drawing The section comprises simple drawing depicting an entire object in its right form and proportion, relative location, surface texture, and details of its component parts in appropriate scaleCommon domestic or day-to-day life appliances like furniture, equipment and others from memory Geometrical drawing Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc.Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc. Three-dimensional perception Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientationVisualisation through structuring objects in memory Imagination and aesthetic sensitivity Composition exercise with given elementsContext mappingCreativity check through innovative uncommon test with familiar objectsSense of colour grouping or application Architectural awareness General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain

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